I have meto for coincidence, I got pregnant (no babys, i had an abortion, if you wonder) and vomited every single day during that period, and the doctor prescribe it. In fact, If you're a cis woman and go to the doctor and say you're having nausea or vomiting, the very first thing they will do is suspect you're pregnant, ask about your period and for a beta hcg exam or something, so you have to be prepared to answer this questions. I have another antiemetic (ondansentron hydrochloride) when i randomly sleep for an entire day and woke up feeling very weak and vomit. In both occasions, my pressure was very low, which is something that commonly occurs when you vomit a lot, so if you woke up and stays hours whitout eat I guess it will be more convincing. And I guess its just a normal thing to prescribe.
But i'm almost certain that in my country, meto doesnt need prescription, bc when I went to the drugstore I doesn't had to sign anything, which is the common procedure when I get controlled medication.
This is just my experience but I'm quite sure you can get it easily.